Regular triangular pyramid has 6 cm long base edge and slant height k=9 cm. Find the lateral area of the pyramid.

Answers

Answer 1
Answer:

Answer:

81 cm²

Step-by-step explanation:

Since, the lateral face of a triangular pyramid is a triangle,

Given,

The base edge or the base of one lateral face of pyramid, a = 6 cm,

And, the slant height or the height of the face, k = 9 cm,

Thus, the area of one lateral face of the pyramid,

A=(1)/(2)* a* k

=(1)/(2)* 6* 9

=(54)/(2)

=27\text{ square cm}

We know that, a Regular triangular pyramid has 3 lateral faces,

Hence, the total lateral area of the pyramid,

L.A.=3*\text{ The area of one lateral face}

=3* 27

=81\text{ square cm}

Answer 2
Answer:

Answer:

hiiii your answer is 81!!

Step-by-step explanation:


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1) Which of the following shows the correct steps to find the value of 27 1/3?A) 27 1/3=(9^3)1/3=(9)^3(1/3)=9B) 27 1/3=(3^9)^1/3=(3)^9(1/3)=3C) 27 1/3=(3^4)1/2=(3)^4(1/2)=9D) 27 1/3=(3^3)^1/3=(3)^3(1/3)=3

How many meters are in 180 centimeter?

Answers

centi means 100
100 centimeters in 1 meter
1 meter=100 cm
the conversion factor is
1m/100cm=1
to convert from cm to m, you multiply it by the conversion factor
180 cm times 1m/100cm= 180m/100=1.8m

the answer is 1.8 cm
basically divide by 100
1.8 meters, because 100cm=1m

Which experssions are equivalent to 5(1/3x+7)-3(1/2x-4)?

Answers

The answer is:

x + 282

6

A health insurance payment of $34.55 was deducted from ms. Donaldson's earnings for the week. After the insurance deduction, payroll taxes equal to 28% of the balance were deducted. What was the amount that Ms. Donaldson received?

Answers

I think that this quesion is missing some background, that is that Ms. Donaldson earned 907.10

So the 34.55 were deduced from this number, and the remaining amount was:

907.10-34.55=872.65

After this, further 28% were deduced, which means that 100-28=72% were left.

And this is:72%*872.55= 628.236 (which we round to 628.24!)

 

Answer: the answer would be 628.24!

Step-by-step explanation:

took the test

If these two shapes are similar what is the missing length m?

Answers

Answer:

First you divide 12 by 3 to get 4 then you divide 4 by 4 to get 1. so M=1

Answer:

1

Step-by-step explanation:

Because u divide it

~~~ 20 POINTS ~~~Country Carpets charges $22 per square yard for carpeting, and an additional installation for $100. City Carpets charges $25 per square yard for the same carpeting, and an additional installation fee of $70.

a. Write and solve an equation to find the number of square yards of carpeting for which the total cost charged by the two companies will be the same.

b. Mr. Shu wants to hire one of the two carpet companies to install carpeting in his basement. Is he more likely to hire Country Carpets or City Carpets? Explain your reasoning.

Answers

A) Lets write our equations.

22x + 100 = 25x + 70

Now lets solve step-by-step.

Apply the inverse operation            22x + 100 = 25x + 70
                                                       -22x             -22x

25x - 22x = 3x

3x + 70 = 100
       -70     - 70               We subtract 70 from both sides because (inverse                                                                                                                  operation)

3x = 30

3x/3 = 30/3
x = 30/3
x= 10

B) We need to find which one is the most cheap.

Lets pick an integer to replace x.

22x + 100 = 25x + 70

Lets choose '2'

22(2) + 100 = 25(2) + 70
44 + 100
 50 + 70

144
120

The first one : Country Carpets charges $144 , while at the same rate, City carpets charges 120.

So, obviously, City Carpets is cheaper than that other one, so he would most likely choose that one.  
a.
Let x be the number of square yards of carpeting for which the total cost charged by the two companies will be the same.

We have an expression for the total cost of Country Carpets:
($22/ 1 yd^2)* (x yd^2) + $100
= $22*x+ $100
or 22x+ 100

We also have another expression for the total cost of City Carpets:
($25/ 1 yd^2)* (x yd^2)+ $70
= $25*x+ $70
or 25x+ 70

Now set the two expressions to be equal:
22x+ 100= 25x+ 70
⇒ 100- 70= 25x -22x
⇒ 30= 3x
⇒ 30/3= x
⇒ 10= x

The final answer for a is 10 square yards of carpeting~

b.
Let's assume that Mr. Shu wants to install carpeting for 1 square yard.

Country Carpets: $22*1+ $100= $122
City Carpets: $25*1+ $70= $95

Therefore, Mr. Shu will be likely to choose City Carpets if he wants to install carpeting for 1 square yard.

Now let's try x=11 (square yard):
Country Carpets= $22*11+ $100= $342
City Carpets= $25*11+ $70= $345

Therefore, 
Mr. Shu will be likely to choose Country Carpets if he wants to install carpeting for 11 square yard.

If you paid really close attention, you would notice that the price of City Carpets will be cheaper than the other when x is >0 and <10. At x=10, the price is equal. When x is >10, the price of Country Carpets will be cheaper than the other one.

So it depends:
If x 
were >0 and <10, Mr. Shu would be likely to choose City Carpets.
If x were 10, Mr. Shu could choose either Country Carpets or City Carpets.
If x were > 10, Mr. Shu would be likely to choose Country Carpets.

Hope this helps~



3 5\16 in decimal form

Answers

The decimalform is 3.312.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

Example:

22 + 3x + 4y = 7 is an expression.

23 + 4 is an expression.

2 - 6 + 8 is an expression.

We have,

3(5)/(16)

= (48 +5)/(16)

= (53)/(16)

This can be written as,

16 ) 53 (3.312

      48

         50

         48

           20

           16

             40

             32

               8

= 3.312

Thus,

The decimalform is 3.3125.

Learn more about expressions here:

brainly.com/question/3118662

#SPJ2

First you convert the whole number into a fraction. Since you already have a fraction of 5/16, convert 2 into 16th's, which would be 32/16. Add 5/16 to 32/16 and you have 37/16. Divide 16 into 37, and your result will be a decimal. Your final answer will be 2.3125. I hope this helps!